How to Teach a Soft Material to Flow on Command express

Original: "Training overdamped dynamics"
· Marc Berneman, Daniel Hexner
arXiv:2602.19122 · 2026-02-22 · CC BY 4.0 · 2 min
Scientists have devised a way to tune liquid and gel-like materials by altering their resistance in specific spots.

Thick honey spreads slowly across a plate. In such a world, where friction suppresses inertia, motion is governed not by force but by viscosity. This is how many soft materials behave: polymer gels, colloidal suspensions, the contents of living cells. The researchers asked: can we locally change viscosity so that a material responds differently to stress at different points?

They developed a method based on the idea of 'directed aging': just as muscles strengthen with exercise, a material 'trains' to alter its resistance in response to local deformations. Using a mathematical approach that describes energy losses in a viscous medium, the authors derived rules for updating viscosity at each point. These rules allow the material to gradually adapt to a desired mechanical behavior.

Viscosity is a fluid's resistance to flow. Water has low viscosity, honey has high viscosity. In soft materials, viscosity can vary from point to point, opening the door to materials with programmable properties.

To test the idea, the scientists simulated a disordered Maxwell material — a substance that behaves like an elastic solid under rapid forces but flows like a liquid under slow ones. They found that by locally changing viscosity, they could control the Poisson's ratio — a measure of how much a material contracts in one direction when stretched in another. For example, they could make a material that, when compressed, does not expand sideways but remains unchanged or even contracts.

The Poisson's ratio of ordinary materials is positive: stretch a rubber band, and it becomes thinner. But there are auxetics with a negative Poisson's ratio: they become thicker when stretched. By controlling viscosity, one can create materials with any desired value of this ratio.

This approach resembles training a neural network, but instead of adjusting connection weights, local viscosities are tuned. The material itself 'learns' the desired behavior by adapting to external conditions. This opens the way to smart gels that change stiffness in response to touch, or polymers that adapt to loads.

The Poisson's ratio of ordinary cork is close to zero: when compressed, it barely expands sideways, which is why it's easy to push a cork into a bottle.

\frac{\partial E}{\partial v_i} + \eta_i \dot{v}_i = 0
Equilibrium equation for a dissipative system: the elastic force is balanced by the viscous friction force. Here E is the deformation energy, v_i is the particle velocity, and η_i is the local viscosity.
Scientists
Andrey Markov
Concepts
Dynamical Systems Reinforcement Learning time derivative molecular dynamics simulation fluid dynamics in porous media real time control evolution protein language model elasticity soft material compression control theory training stochastic dynamical system self-supervised learning damping rate Poiseuille's equation material properties training data parameter fitting